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WE IN SOCIAL MEDIA
Bulletin of the MRSU / Section "Physics and mathematics" / 2013 № 1.
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UDC Index: 517.958, 62.50 |
Date of publication: 30.01.2013 |
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The full text of the article
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Abstract |
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In the article linear and nonlinear control problems for the time-dependent multi-speed anisotropic kinetic transport equation are considered. The author found sufficient conditions for the existence and uniqueness of the generalized solutions of the investigated problems in various functional spaces. By proving the corresponding theorems it was shown that solutions of the investigated control problems can be obtained by the method of successive approximations. |
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Key words |
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control problem, time-dependent multi-speed anisotropic kinetic transport equation, unique existence theorem, generalized solution, method of successive approximations |
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List of references |
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1. Tihonov A.N., Arsenin V.Ja., Timonov A.A. Matematicheskie zadachi komp'juternoj tomografii. - M.: Nauka, 1987. |
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